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Finding the Fourth Proportional to 23,414.81, 35,122.25 and 9,563.81

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Solution

The fourth proportional to 23,414.81, 35,122.25 and 9,563.81 is: 14,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.81 : 35,122.25 = 9,563.81 : x
  2. Step 2: Convert to fraction form
    23,414.81/35,122.25 = 9,563.81/x
  3. Step 3: Cross multiply
    23,414.81x = 35,122.25 × 9,563.81
  4. Step 4: Simplify right side
    23,414.81x = 335,902,637.49
  5. Step 5: Solve for x
    x = 335,902,637.49/23,414.81
  6. Step 6: Final answer
    x = 14,345.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.